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Simplifying 6x + -38 = 7x + -55 Reorder the terms: -38 + 6x = 7x + -55 Reorder the terms: -38 + 6x = -55 + 7x Solving -38 + 6x = -55 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -38 + 6x + -7x = -55 + 7x + -7x Combine like terms: 6x + -7x = -1x -38 + -1x = -55 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + -1x = -55 + 0 -38 + -1x = -55 Add '38' to each side of the equation. -38 + 38 + -1x = -55 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -55 + 38 -1x = -55 + 38 Combine like terms: -55 + 38 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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